Suppose that George wants to determine if the number of insects in a given area is related to the number of flowers in that area. He creates three 1 m2quadrats in his backyard and counts the number of flowers() and number of insects() in each quadrant. His data are shown in the table.

Data point 1 1=10 1=9

Data point 2 2=18 2=16

Data point 3 3 = 20 3= 14

Mean =16.00 y=13.00

Standard deviation = 5.292 = 3.606

Calculate the Pearson product-moment correlation coefficient,, using the formula

=/1

whereis thescore for each value, represents thevalue for each data point, represents thevalue for each data point, and represents the sample size

Complete the following five steps to calculate, and give each of your answers precise to two decimal places.

Step 1. Calculate thescore for eachvalue.

1=1/=________; 2=2/=________; 3=3/=

Step 2. Calculate thescore for eachvalue.

1=1/=________; 2=2/=________; 3=3/=_________

Step 3. For each data point, calculate the product of the pair ofscores.

11=_________; 22=__________; 33=_________

Step 4. Sum the products of each pair ofscores.

()=

Step 5. Calculate the correlation coefficient.

=()/1=